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A new characterization of the operator perspective
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2021-01-22 , DOI: 10.1080/03081087.2021.1877247
Ismail Nikoufar 1
Affiliation  

In this paper, we give a new characterization for the perspective of a continuous function under certain assumptions. This result generalizes a non-commutative analogue of the arithmetic–geometric mean inequality. Our main result extends and strengthens the existing result concerning the characterization of the geometric operator mean. We provide the characterization of other operator means, in particular, the harmonic operator mean and the arithmetic operator mean.



中文翻译:

操作员视角的新特征

在本文中,我们针对某些假设下的连续函数的角度给出了新的表征。该结果推广了算术几何平均不等式的非可交换类比。我们的主要结果扩展并加强了有关几何算子平均值表征的现有结果。我们提供了其他算子平均值的表征,尤其是谐波算子平均值和算术算子平均值。

更新日期:2021-01-24
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